Search results
Results from the WOW.Com Content Network
Strogatz's writing for the general public includes four books and frequent newspaper articles. His book Sync [23] was chosen as a Best Book of 2003 by Discover Magazine. [24] His 2009 book The Calculus of Friendship [25] was called "a genuine tearjerker" [26] and "part biography, part autobiography and part off-the-beaten-path guide to calculus."
The Watts–Strogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and high clustering. It was proposed by Duncan J. Watts and Steven Strogatz in their article published in 1998 in the Nature scientific journal. [ 1 ]
Watts and Strogatz then proposed a novel graph model, currently named the Watts and Strogatz model, with (i) a small average shortest path length, and (ii) a large clustering coefficient. The crossover in the Watts–Strogatz model between a "large world" (such as a lattice) and a small world was first described by Barthelemy and Amaral in 1999 ...
Though much research was not done for a number of years, in 1998 Duncan Watts and Steven Strogatz published a breakthrough paper in the journal Nature. Mark Buchanan said, "Their paper touched off a storm of further work across many fields of science" (Nexus, p60, 2002). See Watts' book on the topic: Six Degrees: The Science of a Connected Age.
The existence of ripple solutions was predicted (but not observed) by Wiley, Strogatz and Girvan, [20] who called them multi-twisted q-states. The topology on which the Kuramoto model is studied can be made adaptive [21] by use of fitness model showing enhancement of synchronization and percolation in a self-organised way.
Print/export Download as PDF; ... In the recent 2003 book SYNC – the Emerging Science of Spontaneous Order by Steven Strogatz, ...
Complex eigenvalues of an arbitrary map (dots). In case of the Hopf bifurcation, two complex conjugate eigenvalues cross the imaginary axis. In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where, as a parameter changes, a system's stability switches and a periodic solution arises. [1]
Steven Strogatz, Non-linear Dynamics and Chaos: With applications to Physics, Biology, Chemistry and Engineering, Perseus Books, 2000. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, 1990.